On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?

Herbert Balasin; Herbert Nachbagauer

On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?

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arxiv gr-qc/9305009 v1 pith:Z6J45SJM submitted 1993-05-10 gr-qc

Herbert Balasin , Herbert Nachbagauer This is my paper · ORCID

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keywords geometrydistributionalschwarzschildtensorblackcalculateconcentratedcurvature

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abstract

Using distributional techniques we calculate the energy--momentum tensor of the Schwarzschild geometry. It turns out to be a well--defined tensor--distribution concentrated on the $r=0$ region which is usually excluded from space--time. This provides a physical interpretation for the curvature of this geometry.

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Analytic models for gravitational collapse
gr-qc 2024-11 reject novelty 4.0 of 10

Two time-dependent mass profiles are proposed as exact models of the last stage of Schwarzschild collapse; one develops the curvature singularity immediately, the other only at infinite time, though the second model's...

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